To determine if either of the given equations is a proportion, we need to express each equation as a fraction and then check if the cross products are equal.
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For the first equation, \(168 = 2412\):
- This can be expressed as \( \frac{168}{1} = \frac{2412}{1} \).
- Clearly, both sides are not equal, thus it is not a proportion.
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For the second equation, \(84 = 126\):
- This can be expressed as \( \frac{84}{1} = \frac{126}{1} \).
- Again, both sides are not equal, thus it is also not a proportion.
Now, examining the ratios:
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The ratio \( \frac{16}{8} \) simplifies to \(2\).
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The ratio \( \frac{24}{12} \) simplifies to \(2\) as well.
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Hence, \( \frac{16}{8} = \frac{24}{12} \) is indeed a proportion.
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The ratio \( \frac{8}{4} \) simplifies to \(2\).
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The ratio \( \frac{12}{6} \) simplifies to \(2\) as well.
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Hence, \( \frac{8}{4} = \frac{12}{6} \) is also a proportion.
Thus, we conclude that:
- \( 168=2412 \) is not a proportion, and \( 84=126 \) is not a proportion.
- The fractions \( \frac{16}{8} = \frac{24}{12} \) and \( \frac{8}{4} = \frac{12}{6} \) are proportions.
Final Answer: Neither is a proportion.